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Numerical simulation for the shape reconstruction of a cavity

✍ Scribed by Wen-Jing Yan; Yi-Chen Ma

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
105 KB
Volume
25
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We consider the inverse problem of reconstructing the interior boundary curve of a cavity from the knowledge of the measurements on the exterior boundary. The domain derivative of the corresponding operator is presented, and this allows the investigation of the regularized Newton method for the solution of the ill‐posed and nonlinear problem. Numerical examples indicate the feasibility of our method. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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